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82771405420660 = 225112338113429197
BaseRepresentation
bin10010110100011110111000…
…001101111011100001110100
3101212001212110120002110220121
4102310132320031323201310
541322111314241430120
6452012354140541324
723302015405402045
oct2264367015734164
9355055416073817
1082771405420660
1124412179571a70
1293497a0251844
133725405206a08
14166222bc848cc
1598811a6955aa
hex4b47b837b874

82771405420660 has 96 divisors (see below), whose sum is σ = 197871842310912. Its totient is φ = 28789231595520.

The previous prime is 82771405420549. The next prime is 82771405420673. The reversal of 82771405420660 is 6602450417728.

It is a super-2 number, since 2×827714054206602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82771405420598 and 82771405420607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192637182 + ... + 193066378.

It is an arithmetic number, because the mean of its divisors is an integer number (2061165024072).

Almost surely, 282771405420660 is an apocalyptic number.

It is an amenable number.

82771405420660 is an abundant number, since it is smaller than the sum of its proper divisors (115100436890252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82771405420660 is a wasteful number, since it uses less digits than its factorization.

82771405420660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467353 (or 467351 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 82771405420660 in words is "eighty-two trillion, seven hundred seventy-one billion, four hundred five million, four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 38113 76226 152452 190565 381130 419243 429197 762260 838486 858394 876599 1676972 1716788 1753198 2096215 2145985 3506396 4192430 4291970 4382995 4721167 8384860 8583940 8765990 9442334 9642589 9871531 17531980 18884668 19285178 19743062 23605835 38570356 39486124 47211670 48212945 49357655 94423340 96425890 98715310 108586841 192851780 197430620 217173682 434347364 542934205 1085868410 2171736820 16357985261 32715970522 65431941044 81789926305 163579852610 179937837871 327159705220 359875675742 376233661003 719751351484 752467322006 899689189355 1504934644012 1799378378710 1881168305015 3598756757420 3762336610030 4138570271033 7524673220060 8277140542066 16554281084132 20692851355165 41385702710330 82771405420660